# Calculation of the degree of Dissociation

### Calculation of the degree of Dissociation

When an electrolyte is dissolved in a solvent, it dissociates into ions. The fraction of the total number of electrolyte molecules that undergoes dissociation is called degree of dissociation (α).

$$\alpha =\frac{Number~of~moles~dissociated}{Total~number~of~moles~taken}$$

Observed colligative property = (1-α)+nα = 1+(n-1)α

Calculated colligative property = 1

$$i=\frac{C_{o}}{C_{c}}=\frac{1+(n-1)\alpha }{1}~~OR~~\alpha =\frac{i-1}{n-1}$$

As we know that,  $$i=\frac{M_{c}}{M_{o}}$$

$$\therefore~~ \alpha =\frac{\frac{M_{c}}{M_{o}}-1}{n-1}=\frac{M_{c}-M_{o}}{M_{o}(n-1)}$$